Abstract
We construct classical curvature spinors in topologically massive gauge theory and topologically massive gravity, expressed in terms of massive three-particle amplitudes. We show that when the amplitudes double copy, the curvature spinors associated with particular solutions satisfy the Cotton double copy, the three-dimensional cousin of the Weyl double copy. Furthermore, we show that under certain circumstances the Cotton double copy can be derived via a dimensional reduction of the Weyl double copy.
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Acknowledgments
NM would like to thank Mariana Carrillo González, Tristan McLoughlin, Donal O’Connell, Matteo Sergola and Guy Jehu for useful discussions. NM is supported by STFC grant ST/P0000630/1 and the Royal Society of Edinburgh Saltire Early Career Fellowship. WTE is supported by the Czech Science Foundation GAČR, project 20-16531Y.
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Emond, W.T., Moynihan, N. Scattering amplitudes and the Cotton double copy. J. High Energ. Phys. 2024, 9 (2024). https://doi.org/10.1007/JHEP07(2024)009
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DOI: https://doi.org/10.1007/JHEP07(2024)009